Answer:
11.581 years
Step-by-step explanation:
Formula:
Answer:
135 is the correct answer
Step-by-step explanation:
6x^2-3x
substitution
x=5
6* (5*5) -3*5
6*25-3*5
150-15= 135
1) Volume of the box = 90*45*45=<span>182250 cm³
2) filled with soil = 0.85*</span>182250= <span>154912.5 cm³
3) </span>182250 cm³-154912.5 cm³=<span>27337.5 cm³ not filled
4) </span>27337.5 cm³/28316 cm³=0.9654 ≈ 1 bag
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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Answer:
Total surface area of the rectangular prism is 150.88 cm^2
Step-by-step explanation:
area of base = area of top
area of base = 5 x 3.1 = 15.5 cm^2
Area of small lateral surface having dimensions 3.1 cm x 7.4 cm is
=3.1 x 7.4 = 22.94 cm^2
Area of big lateral surface having dimensions 5 cm x 7.4 cm is
=5 x 7.4 = 37 cm^2
Total area of prism = 2 x 15.5 + 2 x 22.94 + 2 x 37 = 150.88 cm^2
total surface area of the rectangular prism is 150.88 cm^2
